Kapoor was raised in an Indian home. His mother was a Jewish immigrant from Baghdad. “My mother was then only a few months old. She had an Indian-Jewish upbringing. Her father, my grandfather, was the cantor in the synagogue in Pune. At the time, the Jewish community in Bombay was quite large, mostly consisting of Baghdadi Jews.” His father, from a Punjabi family, was a hydrographer in the Indian Navy.